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math.AT2014
Chromatic completion
Tobias Barthel
We study the limit of the chromatic tower for not necessarily finite spectra, obtaining a generalization of the chromatic convergence theorem of Hopkins and Ravenel. Moreover, we p…
math.AT2014★ 8 cited
Chromatic fracture cubes
Omar Antolín-Camarena, Tobias Barthel
In this note, we construct a general form of the chromatic fracture cube, using a convenient characterization of the total homotopy fiber, and deduce a decomposition of the E(n)-lo…
math.AT2012★ 31 cited
On the construction of functorial factorizations for model categories
Tobias Barthel, Emily Riehl
We present general techniques for constructing functorial factorizations appropriate for model structures that are not known to be cofibrantly generated. Our methods use "algebraic…